101587385556 has 72 divisors (see below), whose sum is σ = 259487766720. Its totient is φ = 33507742464.

The previous prime is 101587385489. The next prime is 101587385563. The reversal of 101587385556 is 655583785101.

101587385556 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 8 + 7 + 3 + 85 + 556 = 666.

101587385556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497921 + ... + 2538263.

It is an arithmetic number, because the mean of its divisors is an integer number (3603996760).

Almost surely, 2^101587385556 is an apocalyptic number.

It is an amenable number.

101587385556 is an abundant number, since it is smaller than the sum of its proper divisors (157900381164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101587385556 is a wasteful number, since it uses less digits than its factorization.

101587385556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41085 (or 41080 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 101587385556 in words is "one hundred one billion, five hundred eighty-seven million, three hundred eighty-five thousand, five hundred fifty-six".